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- Title
Instability of the magnetic fluid shape in the field of a line conductor with current.
- Authors
Volkova, T.; Naletova, V.
- Abstract
The static shape of the surface of a finite magnetic fluid volume between horizontal plates is investigated theoretically. The nonuniform magnetic field is generated by a horizontal line conductor with current, which is placed above the upper plate. The variational problem of minimum energy relative to plane surface perturbations is considered for a simply connected magnetic fluid volume. The problem is solved for arbitrary magnetic fields in the noninductive approximation with account for the gravity force and surface tension. Unstable solutions are found. The possibility of stepwise behavior in response to quasi-static changes of the current in the conductor is investigated for the surface shape of a finite magnetic fluid volume.
- Subjects
MAGNETIC fluids; ELECTRICAL conductors; HYSTERESIS; VARIATIONAL principles; NONUNIFORM plasmas; MAGNETIC fields
- Publication
Fluid Dynamics, 2014, Vol 49, Issue 1, p3
- ISSN
0015-4628
- Publication type
Article
- DOI
10.1134/S0015462814010025